|
Constructing Representations of the Nonstandardly Deformed Algebra sℓξ(2)
D. R. Karakhanyan Yerevan Physics Institute
Abstract:
The generators of the algebra sℓξ(2), which result from the nonstandard (Jordanian) deformation of the algebra sℓ(2), are realized in the form of finite-difference operators acting in a function space. This allows realizing arbitrary-dimensional representations of sℓξ(2) in the polynomial space that are in one-to-one correspondence with usual matrices of an appropriate dimension. We discuss using the suggested realization to construct and investigate the universal R-matrix invariant with respect to the action of the algebra sℓξ(2).
Received: 09.12.2002
Citation:
D. R. Karakhanyan, “Constructing Representations of the Nonstandardly Deformed Algebra sℓξ(2)”, TMF, 138:2 (2004), 209–224; Theoret. and Math. Phys., 138:2 (2004), 177–189
Linking options:
https://www.mathnet.ru/eng/tmf21https://doi.org/10.4213/tmf21 https://www.mathnet.ru/eng/tmf/v138/i2/p209
|
Statistics & downloads: |
Abstract page: | 364 | Full-text PDF : | 195 | References: | 74 | First page: | 1 |
|